Pertanyaan

Nilai a agar fungsi f ( x ) = { 1 − x ( 5 − x − 2 ) ( 3 + x + a ) , untuk x ≥ 1 x untuk x ≤ 1 kontinu di x = 1 adalah ...

Nilai a agar fungsi

$f (x) = {\frac{( 5 - x - 2 ) ( 3 + x + a )}{1 - x}, untuk x \geq 1 x untuk x \leq 1$

kontinu di x = 1 adalah ...

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Ingat bahwa limit dikatakan kontinu di x = a jika Maka Jika f(x) maka kontinu x = 1 sehingga,

Ingat bahwa limit dikatakan kontinu di x = a jika

begin mathsize 14px style bold lim with bold x bold rightwards arrow bold a to the power of bold minus below bold f begin bold style left parenthesis x right parenthesis end style bold equals bold lim with bold x bold rightwards arrow bold a to the power of bold plus below bold f begin bold style left parenthesis x right parenthesis end style end style

Maka

Error converting from MathML to accessible text.

Jika f(x) maka kontinu x = 1 sehingga,

$begin mathsize 14px style limit as straight x rightwards arrow 1 to the power of plus of open parentheses fraction numerator left parenthesis square root of 5 minus straight x end root minus 2 right parenthesis space left parenthesis square root of 3 plus straight x end root plus straight a right parenthesis over denominator 1 minus straight x end fraction close parentheses equals limit as straight x rightwards arrow 1 to the power of minus of limit as straight x rightwards arrow 1 to the power of plus of fraction numerator left parenthesis square root of 5 minus straight x end root minus 2 right parenthesis over denominator 1 minus straight x end fraction limit as straight x rightwards arrow 1 to the power of plus of left parenthesis square root of 3 plus straight x end root plus straight a right parenthesis equals 1 limit as straight x rightwards arrow 1 to the power of plus of fraction numerator left parenthesis square root of 5 minus straight x end root minus 2 right parenthesis over denominator 1 minus straight x end fraction open parentheses fraction numerator square root of 5 minus straight x end root plus 2 over denominator square root of 5 minus straight x end root plus 2 end fraction close parentheses limit as straight x rightwards arrow 1 to the power of plus of left parenthesis square root of 3 plus straight x end root plus straight a right parenthesis equals 1 limit as straight x rightwards arrow 1 to the power of plus of fraction numerator left parenthesis 5 minus straight x minus 4 right parenthesis over denominator 1 minus straight x end fraction space fraction numerator 1 over denominator square root of 5 minus straight x end root plus 2 end fraction left parenthesis square root of 3 plus straight x end root plus straight a right parenthesis equals 1 limit as straight x rightwards arrow 1 to the power of plus of open parentheses fraction numerator 1 minus straight x over denominator 1 minus straight x end fraction close parentheses space fraction numerator 1 over denominator square root of 5 minus straight x end root plus 2 end fraction open parentheses 2 plus straight a close parentheses equals 1 fraction numerator 1 over denominator square root of 5 minus straight x end root plus 2 end fraction open parentheses 2 plus straight a close parentheses equals 1 fraction numerator 2 plus straight a over denominator 4 end fraction equals 1 2 plus straight a equals 4 straight a equals 2 end style$

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

0.0 (0 rating)

Pertanyaan serupa

Didefinisikan Jika f (x) kontinu di semua titik pada x ∈ R , maka nilai dari a + b adalah ....

5.0

Jawaban terverifikasi

Didefinisikan Jika f (x) kontinu di semua titik pada x ∈ R , maka nilai dari m 2 + n 2 adalah ...

5.0

Jawaban terverifikasi

Didefinisikan Jika f( x) kontinu di semua titik pada x ∈ R , maka nilai dari f (7) adalah ....

5.0

Jawaban terverifikasi

Didefinisikan f ( x ) = { x − 3 , a − x , x < 3 x ≥ 3 Jika f ( x) kontinu di semua titik pada x ∈ R , maka nilai dari f ( 5) adalah ....

0.0

Jawaban terverifikasi

Didefinisikan Perhatikan beberapa pernyataan sebagai berikut i) f (x) kontinu di x = 0 ii) f (x) diskontinu di x = 1 iii) f (x) kontinu di x = 4 Pernyataan yang benar ditunjukkan ole...

0.0

Jawaban terverifikasi